解题方法
1 . 在数学史上,为了三角计算的简便并且更加追求计算的精确性,曾经出现过下列两种三角函数:定义
为角
的正矢,记作
;定义
为角
的余矢,记作
.给出下列结论:
①函数
在
上单调递增;
②若
,则
;
③若
,则
的最小值为0;
④若
,则
的最小值为
.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b7b2ba487fb7e7063a4f95ea81c94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e98f5ac7415a262664dd6c2e8eacf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54bbf533362dbef1dae0345afae92f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f539be9908400df3c3e679e6b8e0e8.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb58e2e08a817e6279d9116012b0518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc08b681e246016cd05802b234760e0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb245aa9a36dc82042dead26f2de3400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06895303e65f0a987c429a83ff01235b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812e2fd49b011c1af000001dea81ef99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc78b4b6a74d63b6d76496e80791e49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb88b6e17cd00140b747b585a6644d39.png)
其中所有正确结论的序号为( )
A.①② | B.③④ | C.①③④ | D.②③④ |
您最近一年使用:0次
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2 . 数学中有许多形状优美、寓意美好的曲线,曲线
就是“心形”曲线.给出以下列两个结论:
①曲线
恰好经过6个整点(即横、纵坐标均为整数的点);
②曲线
上任意一点到原点的距离都不超过
;
则正确的判断是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/6fea8eb5-9b2c-4524-a34a-baaf6d03d853.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec03995f3d289f47654e71af0affde19.png)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
②曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
则正确的判断是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/6fea8eb5-9b2c-4524-a34a-baaf6d03d853.png?resizew=151)
A.①正确②错误 | B.①错误②正确 |
C.①②都错误 | D.①②都正确 |
您最近一年使用:0次
2022-12-05更新
|
276次组卷
|
3卷引用:上海市控江中学2020-2021学年高二上学期期末数学试题